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Finding the Fourth Proportional to 187,524.76, 258,784.26 and 102,642.28

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Solution

The fourth proportional to 187,524.76, 258,784.26 and 102,642.28 is: 141,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,524.76 : 258,784.26 = 102,642.28 : x
  2. Step 2: Convert to fraction form
    187,524.76/258,784.26 = 102,642.28/x
  3. Step 3: Cross multiply
    187,524.76x = 258,784.26 × 102,642.28
  4. Step 4: Simplify right side
    187,524.76x = 26,562,206,474.51
  5. Step 5: Solve for x
    x = 26,562,206,474.51/187,524.76
  6. Step 6: Final answer
    x = 141,646.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.